摘要
本文首先给出了有限域上逻辑函数的Chrestenson线性谱的新定义(不同于文献[1]所给出的),如同Chrestenson循环谱一样,重新定义的Chrestenson线性谱也是有限域Fq到复数域的映射,且证明了它们之间在实质意义下可以相互线性表出;最后我们还用重新定义的Chrestenson线性谱给出了有限域上逻辑函数的反演公式.
We firstly redefine the Chrestenson linear spectrum of logical functions over Finite Fields,which was ever offered in [1]. The linear spectrum proposed in this paper, as well as Chrestenson cyclic spectrum, is a mapping from Finite Fields into Complex Fields, so it is reasonable to study the relation between Chrestenson linear spectrum and Chrestenson cyclic spectrum. Finally, we show that any logical functions over finite fields can be deduced by a group of Chrestenson linear spectrum.
